457464792 has 64 divisors (see below), whose sum is σ = 1197504000. Its totient is φ = 145437824.

The previous prime is 457464743. The next prime is 457464809. The reversal of 457464792 is 297464754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53809 + ... + 61727.

It is an arithmetic number, because the mean of its divisors is an integer number (18711000).

Almost surely, 2^457464792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457464792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

457464792 is an abundant number, since it is smaller than the sum of its proper divisors (740039208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457464792 is a wasteful number, since it uses less digits than its factorization.

457464792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040 (or 8036 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 457464792 is about 21388.4265900977. The cubic root of 457464792 is about 770.5235052472.

The spelling of 457464792 in words is "four hundred fifty-seven million, four hundred sixty-four thousand, seven hundred ninety-two".